Mean Absolute Deviation
Free Mean Absolute Deviation calculator with clear step-by-step results.
About Mean Absolute Deviation
MAD measures average absolute distance from the mean.
Formula
Formula
MAD = mean(|x_i − mean|)
Worked example
With the default values below, Mean Absolute Deviation returns Mean Absolute Deviation of 2.000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Values (comma-separated)
- 2, 4, 6, 8
Results
- Mean Absolute Deviation
- 2.000
- Mean
- 5.000
- Count
- 4.00
Step by step
- 1Values used
- 2Formula
- 3Mean Absolute Deviation= 2.000
- 4Mean= 5.000
- 5Count= 4
Assumptions and limits
- The result is derived only from the single input listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
MAD measures average absolute distance from the mean.
Why does this matter?
Uses absolute differences, so no cancellation.